19. Which of the following is not a property of a Binomial Experiment? All trials are identical. Each trial has only two possible outcomes. The probability of success may change from trial to trial. The purpose of the experiment is to determine the number of successes that occurs during the n trials.
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- What are the four requirements for a probability experiment to be a binomial experiment? Choose from the list below. There are two trials. O Each trial has only two outcomes. O There is an unlimited number of trials. The outcomes are dependent on each other. Each trial has more than two outcomes. The probability of a success does not remain the same in each case. The probability of a success remains the same in each case. There is a fixed number of trials. The outcomes are independent of each other. XWhich of the following is a feature of a binomial experiment? A. Each trial has an unlimited number of outcomes. B. The probability of a success is twice the probability of a failure. C. There are an uncertain number of trials. D. The probability of a success is the same for each trial.About 30% of babies born with a certain ailment recover fully. A hospital is caring for seven babies born with this ailment. The random variable represents the number of babies that recover fully. Decide whether the experiment is a binomial experiment. If it is, identify a success, specify the values of n, p, and q, and list the possible values of the random variable x. Is the experiment a binomial experiment? Yes No What is a success in this experiment? a.Baby recovers b.This is not a binomial experiment. c.Baby doesn't recover Specify the value of n or not A. n=? B. This is not a binomial experiment. -Specify the value of p or is This not a binomial experiment. -Specify the value of q. A. q=? B. This is not a binomial experiment. List the possible values of the random variable x.
- he concept of probability, including the notion of an experiment, outcomes, and sample space. How can each of these be useful to us?About 10% of babies born with a certain ailment recover fully. A hospital is caring for seven babies born with this ailment. The random variable represents the number of babies that recover fully. Decide whether the experiment is a binomial experiment. If it is, identify a success, specify the values of n, p, and q, and list the possible values of the random variable x. is the experiment a binomial experiment? No Yes What is a success in this experiment? Baby doesn't recover Baby recovers This is not a binomial experiment. Specify the value of n. Select the correct choice below and fill in any answer boxes in your choice.A.n=enter your response hereB.This is not a binomial experiment. Specify the value of p. Select the correct choice below and fill in any answer boxes in your choice.A.p=enter your response hereB.This is not a binomial experiment. Specify the value of q. Select the correct choice below and fill in any answer boxes in your choice.A.q=enter your response…How many outcomes are there in a binomial experiment?
- A couple plans to have four children. The father notes that the sample space for the number of girls the couple can have is 0, 1, 2, 3, and 4. He goes on to say that since there are five outcomes in the sample space, and since each child is eaually iikely to be a boy or girl, all five outcomes must be equally ieiy. Therefore, the probability of all four children being girls is 1/5. Explain the flaw in his reasoning. The argument is only correct if each child is equally likely to be a boy or girl. O The outcomes are not equally likely. O The sample space has less than 5 possible outcomes. O The sample space has more than 5 possible outcomes.An experiment is rolling two fair dice. What is the probability that the sum is 6?Imagine that you are training to run a half-marathon and so every week you have 2 intense days, 3 light days, and 2 rest days. On your intense days you run 16 km, on your light days you run 5 km, and on your rest days you do not run. How would you model your miles run per day as a random variable? (Hint: probability distribution)
- According to the college registrar's office, 45% of students enrolled in an introductory statistics class this semester are freshmen, 20% are sophomores, 25% are juniors, and 10% are seniors. You want to determine the probability that in a random sample of five students enrolled in introductory statistics this semester, exactly two are freshmen. (a) Describe a trial. Can we model a trial as having only two outcomes? If so, what is success? What is failure? Choose one of the statements below:A. A trial consists of looking at the class status of a student enrolled in introductory statistics. Yes we can model this trial with "freshman" being a success and "any other class" as a failure.B. A trial consists of looking at the class status of a student enrolled in introductory statistics. Yes we can model this trial with "junior" being a success and "any other class" as a failure.C. A trial consists of looking at the class status of a student enrolled in introductory statistics. Yes we can…qm7 4 Suppose a jar contains 5 red marbles and 19 blue marbles. If you reach in the jar and pull out 2 marbles at random, what is the probability that both are red? % Round to 2 places.2. Wallace figures his chances of getting a new car for graduation at 70% if he graduates as class valedictorian. He only has about a 25% chance of getting a new car if he graduates 2nd or lower. He estimates his chances of being valedictorian at 50/50. What is the likelihood that Wallace will get a new car?